Solution - Linear equations with one unknown

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                3*(6+7*y)+2*(1-5*y)-(42)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((3 • (7y + 6)) +  2 • (1 - 5y)) -  42  = 0 

Step  2  :

Equation at the end of step  2  :

  (3 • (7y + 6) +  2 • (1 - 5y)) -  42  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   11y - 22  =   11 • (y - 2) 

Equation at the end of step  4  :

  11 • (y - 2)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    11   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 5.2      Solve  :    y-2 = 0 

 Add  2  to both sides of the equation : 
                      y = 2

One solution was found :